粘弹性力学在高温铸造合金单向拉伸试验中的应用  

Application of Viscoelasticity Mechanics into Uniaxial Tensile Test of High Temperature Cast Alloy

作　　者：田红亮[1] 朱大林[1] 秦红玲[1] 

机构地区：[1]三峡大学机械与材料学院,宜昌

出　　处：《力学研究》2013年第1期7-12,共6页International Journal of Mechanics Research

基　　金：国家自然科学基金(项目批准号:51275273);三峡大学博士科研启动基金(项目编号:KJ2012B013)的资助。

摘　　要：给出了Kelvin链的应力–应变微分型本构关系。全面考虑初始条件,推导了Burgers四参量流体、Kelvin- Maxwell六参量模型在阶跃函数单向应力作用下的总应变通解。Burgers四参量流体、Kelvin-Maxwell六参量模型都可以近似地描述金属材料蠕变曲线的前两个阶段,但都不能反映第三个阶段。铸造Mar-M200合金蠕变曲线的计算表明,两种理论预测与实验测量的结果的一致性较好,特别是Kelvin-Maxwell六参量模型的最大相对误差仅为5.4765779%。The stress-strain differential constitutive relation was given for Kelvin chain. On basis of all the initial conditions taken into account, the general solutions of total strain were derived for Burgers fluid with 4 parameters and Kelvin-Maxwell model with 6 ones under the step function uniaxial stress. Both Burgers fluid with 4 parameters and Kelvin-Maxwell model with 6 ones could approximately describe the former two stages of creep curve but not reflect the third stage. Numerical calculation for cast Mar-M200 alloy creep curve shows that two theories predictions are in good agreement with test measurement results, especially the maximum relative error of Kelvin-Maxwell model with 6 parameters is only 5.4765779%.

关 键 词：麦克斯韦模型 开尔文模型 蠕变曲线 应力–应变微分型本构关系 

分 类 号：R73[医药卫生—肿瘤]